20827125 has 120 divisors (see below), whose sum is σ = 45189144. Its totient is φ = 9504000.

The previous prime is 20827123. The next prime is 20827181. The reversal of 20827125 is 52172802.

It can be written as a sum of positive squares in 4 ways, for example, as 88209 + 20738916 = 297^2 + 4554^2 .

It is not a de Polignac number, because 20827125 - 2¹ = 20827123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20827123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1225117 + ... + 1225133.

Almost surely, 2^20827125 is an apocalyptic number.

20827125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20827125 is an abundant number, since it is smaller than the sum of its proper divisors (24362019).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20827125 is a wasteful number, since it uses less digits than its factorization.

20827125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20827125 is about 4563.6745063600. The cubic root of 20827125 is about 275.1332687391.

Adding to 20827125 its reverse (52172802), we get a palindrome (72999927).

The spelling of 20827125 in words is "twenty million, eight hundred twenty-seven thousand, one hundred twenty-five".